Search a number
-
+
730420035840 = 28335113161979
BaseRepresentation
bin10101010000100000110…
…11010100000100000000
32120211100020011022222000
422220100123110010000
543431400012121330
61315314512144000
7103525326602445
oct12502033240400
92524306138860
10730420035840
11261851082890
12b9688238000
1353b5586a151
14274d144b9cc
1513eeea01560
hexaa106d4100

730420035840 has 576 divisors, whose sum is σ = 2918871244800. Its totient is φ = 171356774400.

The previous prime is 730420035833. The next prime is 730420035853. The reversal of 730420035840 is 48530024037.

It is a happy number.

730420035840 is a `hidden beast` number, since 7 + 30 + 42 + 0 + 0 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 730420035795 and 730420035804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11753971 + ... + 11815949.

It is an arithmetic number, because the mean of its divisors is an integer number (5067484800).

Almost surely, 2730420035840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730420035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459435622400).

730420035840 is an abundant number, since it is smaller than the sum of its proper divisors (2188451208960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

730420035840 is a wasteful number, since it uses less digits than its factorization.

730420035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62051 (or 62031 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 730420035840 its reverse (48530024037), we get a palindrome (778950059877).

The spelling of 730420035840 in words is "seven hundred thirty billion, four hundred twenty million, thirty-five thousand, eight hundred forty".